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Finding the Third Proportional to 27,236.25 and 37,505.81

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Solution

The third proportional to 27,236.25 and 37,505.81 is: 51,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,236.25 : 37,505.81 = 37,505.81 : x
  2. Step 2: Convert to fraction form
    27,236.25/37,505.81 = 37,505.81/x
  3. Step 3: Cross multiply
    27,236.25x = 37,505.81 × 37,505.81
  4. Step 4: Simplify right side
    27,236.25x = 1,406,685,971.29
  5. Step 5: Solve for x
    x = 1,406,685,971.29/27,236.25
  6. Step 6: Final answer
    x = 51,647.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.